2135368116000 has 1536 divisors, whose sum is σ = 9327397847040. Its totient is φ = 463947264000.

The previous prime is 2135368115999. The next prime is 2135368116041. The reversal of 2135368116000 is 6118635312.

2135368116000 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 36 + 8 + 11 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3947075730 + ... + 3947076270.

It is an arithmetic number, because the mean of its divisors is an integer number (6072524640).

Almost surely, 2^{2135368116000} is an apocalyptic number.

2135368116000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135368116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4663698923520).

2135368116000 is an abundant number, since it is smaller than the sum of its proper divisors (7192029731040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2135368116000 is a wasteful number, since it uses less digits than its factorization.

2135368116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 2135368116000 in words is "two trillion, one hundred thirty-five billion, three hundred sixty-eight million, one hundred sixteen thousand".